单向变水深下谐波水波传播的 Mild-Slope 方程边界元公式
Boundary element formulation of the Mild-Slope Equation for harmonic water waves propagating over unidirectional variable bathymetries
AI总结：
本文提出一种基于 Green 函数近似的 Mild-Slope 方程边界元公式，用于求解单向变水深封闭与开放水域的水波传播问题，能准确模拟折射、反射、衍射和变浅等现象且与理论解高度吻合。
摘要：
本文提出了一种边界元公式，用于求解水波传播问题中一个方向上水深变化的 Mild-Slope 方程。基于 Belibassakis 提出的 Green 函数近似，开发了一个完整的基本解核，并结合边界元方案，求解了在优先方向上海底地形任意且平滑变化的封闭和开放水域中的水波传播问题。通过求解一些示例问题，展示了该公式准确表示折射、反射、衍射和变浅等波浪现象的能力，这些问题中考虑了任意几何形状和坡度高达 1:3 的可变海底剖面。所得结果还与理论解进行了比较，显示出极好的一致性，证明了其潜力。
英文摘要：
This paper presents a boundary element formulation for the solution of the Mild-Slope equation in wave propagation problems with variable water depth in one direction. Based on the Green's function approximation proposed by Belibassakis \cite{Belibassakis2000}, a complete fundamental-solution kernel is developed and combined with a boundary element scheme for the solution of water wave propagation problems in closed and open domains where the bathymetry changes arbitrarily and smoothly in a preferential direction. The ability of the proposed formulation to accurately represent wave phenomena like refraction, reflection, diffraction and shoaling, is demonstrated with the solution of some example problems, in which arbitrary geometries and variable seabed profiles with slopes up to 1:3 are considered. The obtained results are also compared with theoretical solutions, showing an excellent agreement that demonstrates its potential.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
